Circus venue's not quiet: audience finally seeing 'Piggy' (3,3)

I believe the answer is:

big top

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'circus venue's' is the definition.
(I've seen this in another clue)

I can't explain the rest of the clue.

(Other definitions for big top that I've seen before include "Circus venue" , "entertainment centre" , "needed by Mae West, for one?" , "'Main circus tent (3,3)'" , "performance in The Ring" .)

I've seen this clue in The Everyman puzzle in The Observer.

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